Information on Result #729044
Linear OA(32106, 1071, F32, 47) (dual of [1071, 965, 48]-code), using construction XX applied to C1 = C([1015,32]), C2 = C([4,38]), C3 = C1 + C2 = C([4,32]), and C∩ = C1 ∩ C2 = C([1015,38]) based on
- linear OA(3279, 1023, F32, 41) (dual of [1023, 944, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,32}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3269, 1023, F32, 35) (dual of [1023, 954, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,38}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3290, 1023, F32, 47) (dual of [1023, 933, 48]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,38}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3258, 1023, F32, 29) (dual of [1023, 965, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,32}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- linear OA(325, 16, F32, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.